Someone told me

They tell me, our lives are not worth much
They go by as quickly as roses wither
They tell me, time is so mean because it flies by
It doesn't give a damn about our sorrows
Yet someone told me...

(chorus)
That you still loved me
Yes, someone told me that you still loved me
Is it possible then?

They tell me, fate doesn't care about us at all
It promises a lot but gives us nothing
I heard happiness is at our fingertips
That's why we end up crazy trying to grasp it
Yet someone told me...

(chorus)

Whoever told me you were still in love with me?
I cannot remember, that was late at night
I can recall the sound of their voice but not their features
"He loves you, that's a secret, don't tell him I told you"
See, someone told me...

That you still loved me, but was I really told...
That you still loved me, is it possible then?

Umpteenth translation
I think a lot of people had a hard time with the first stanza. On me dit means "they tell me", not "they told me" (present tense); instant means "moment"; se faire des manteaux is an expression equivalent to "not to give a damn" and doesn't have much to do with "to make coats for oneself"...

"se faire des manteaux" obviously could mean what you said, but it is not such a common expression in French.
More like a metaphor that could have more than an interpretation, in my opinion, so translating it more literally could be an option.
("the cruel fate uses our sorrows to keep itself warm" or something like that).